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Finding the Fourth Proportional to 475,365.38, 713,049.27 and 120,379.43

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Solution

The fourth proportional to 475,365.38, 713,049.27 and 120,379.43 is: 180,569.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,365.38 : 713,049.27 = 120,379.43 : x
  2. Step 2: Convert to fraction form
    475,365.38/713,049.27 = 120,379.43/x
  3. Step 3: Cross multiply
    475,365.38x = 713,049.27 × 120,379.43
  4. Step 4: Simplify right side
    475,365.38x = 85,836,461,119.27
  5. Step 5: Solve for x
    x = 85,836,461,119.27/475,365.38
  6. Step 6: Final answer
    x = 180,569.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.